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14413442011032 = 23323179229637001
BaseRepresentation
bin1101000110111110010000…
…0101110100111110011000
31220000220121120000020100210
43101233210011310332120
53342122212123323112
650353235512131120
73015223346433111
oct321574405647630
956026546006323
1014413442011032
114657785291909
121749508696aa0
138072493c456c
1437b885979208
1519edd7959b3c
hexd1be4174f98

14413442011032 has 128 divisors (see below), whose sum is σ = 37975511232000. Its totient is φ = 4549953408000.

The previous prime is 14413442011019. The next prime is 14413442011039. The reversal of 14413442011032 is 23011024431441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14413442011039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22308532 + ... + 22945532.

It is an arithmetic number, because the mean of its divisors is an integer number (296683681500).

Almost surely, 214413442011032 is an apocalyptic number.

14413442011032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14413442011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987755616000).

14413442011032 is an abundant number, since it is smaller than the sum of its proper divisors (23562069220968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14413442011032 is a wasteful number, since it uses less digits than its factorization.

14413442011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637441 (or 637437 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14413442011032 its reverse (23011024431441), we get a palindrome (37424466442473).

The spelling of 14413442011032 in words is "fourteen trillion, four hundred thirteen billion, four hundred forty-two million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 179 184 229 276 358 458 537 552 687 716 916 1074 1374 1432 1832 2148 2748 4117 4296 5267 5496 8234 10534 12351 15801 16468 21068 24702 31602 32936 40991 42136 49404 63204 81982 98808 122973 126408 163964 245946 327928 491892 637001 942793 983784 1274002 1885586 1911003 2548004 2828379 3771172 3822006 5096008 5656758 7542344 7644012 11313516 14651023 15288024 22627032 29302046 43953069 58604092 87906138 114023179 117208184 145873229 175812276 228046358 291746458 342069537 351624552 437619687 456092716 583492916 684139074 875239374 912185432 1166985832 1368278148 1750478748 2622533117 2736556296 3355084267 3500957496 5245066234 6710168534 7867599351 10065252801 10490132468 13420337068 15735198702 20130505602 20980264936 26111307991 26840674136 31470397404 40261011204 52222615982 62940794808 78333923973 80522022408 104445231964 156667847946 208890463928 313335695892 600560083793 626671391784 1201120167586 1801680251379 2402240335172 3603360502758 4804480670344 7206721005516 14413442011032